1. Table of Contents Quadratic Equation: Solving Using the Quadratic Formula Example: Solve 2x 2 + 4x = 1. The quadratic formula is Here, a, b, and c refer to the numbers when the quadratic is in standard form, ax 2 + bx + c = 0. First, put the equation in standard form. 2x 2 + 4x – 1 = 0 Next, substitute the values a = 2, b = 4, and c = -1 into the formula.

2. Table of Contents Quadratic Equation: Solving Using the Quadratic Formula Slide 2 Next, simplify. These are the exact solutions. Approximate solutions can be found by separately evaluating and to get approximately - 2.225 and 0.225.

3. Table of Contents Quadratic Equation: Solving Using the Quadratic Formula Slide 3 The quadratic formula may be programmed into your calculator. See your instructor to obtain the program and instructions for running it. Try: Solve x 2 + 5 = - 2x. The solutions are - 1  2i.

4. Table of Contents Quadratic Equation: Solving Using the Quadratic Formula